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Some equivalent definitions of Besov spaces of generalized smoothness
Author(s) -
Loosveldt Laurent,
Nicolay Samuel
Publication year - 2019
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201800111
Subject(s) - mathematics , smoothness , besov space , pure mathematics , mathematical analysis , interpolation space , functional analysis , biochemistry , chemistry , gene
In this paper, we present some alternative definitions of Besov spaces of generalized smoothness, defined via Littlewood–Paley‐type decomposition, involving weak derivatives, polynomials, convolutions and generalized interpolation spaces.